Least Common Multiple of 347/143, 823/498

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 347/143, 823/498 quickly i.e. 285581 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 347/143, 823/498 is 285581.

LCM(347/143, 823/498) = 285581

LCM of 347/143, 823/498

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 347/143,823/498

Given numbers are 347/143,823/498

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 347,823

Least Common Multiple of Numerators i.e. LCM of 347,823 is 285581.

GCF of Denominators means GCF of 143,498 as per the given fractions.

GCF of 143,498 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 347,823

LCM of Fractions 347/143,823/498 is 285581

Given numbers has no common factors except 1. So, there LCM is their product i.e 285581

Least Common Multiple of 347,823 with GCF Formula

Least Common Multiple of 347,823 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 347,823 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(347,823) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(347,823) x common factors =1 x 1 = 1

LCM(347,823) = ( 347 × 823 ) / 1

LCM(347,823) = 285581 / 1

LCM(347,823) = 285581


Lets's calculate GCF of 143,498

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 285581/1

Therefore the LCM of Fractions 347/143,823/498 is 285581

Greatest Common Factor of 143,498 By Matching Biggest Common Factor Method

Greatest Common Factor of 143,498 By Matching Biggest Common Factor Method

Factors of 143

List of positive integer factors of 143 that divides 143 without a remainder.

1,11,13,143

Factors of 498

List of positive integer factors of 498 that divides 498 without a remainder.

1,2,3,6,83,166,249,498

Greatest Common Factor

We found the factors 143,498 . The biggest common factor number is the GCF number.
So the greatest common factor 143,498 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 347/143, 823/498

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 347/143, 823/498?

Answer: LCM of Numerators as per given numbers 347/143, 823/498 is

LCM of Numerators i.e. for 347,823 is 285581

GCF of denominators i.e. for 143,498 is 1.

Thus, LCM of Fractions is 285581.Finally, LCM of Fractions for 347/143, 823/498 is 285581.